Hi Kelli,
From what you have described here, I don't think this will easily be crawled. Obviously the necessary code for the click activity is included in the HTML, and whilst Google has been known to complete forms and take actions on sites before, it's far from guaranteed that it will do this.
Usually when Google completes actions like this, it's not desirable - you used to see websites with millions of junk URLs indexed because Google had either "filled out forms" itself, or spammers had dynamically generated millions of versions of a form to fill Google's index, in order to harm a competitor. It's not common to want Google to complete activity like this, rather than just let it crawl the information deliberately given to it in HTML.
I would be really curious to see what the menus looked like in HTML though. That would give us a better idea of whether it's likely Google will crawl any of the content.
If the menus are not crawlable, there are range of other good options (that can also be user-friendly and attractive) for menu development. The Distilled guide is a good resource.
If we are I am able to look at the raw HTML for the planned menus, please let me know. If you'd rather not post it in here, feel free to PM me (I am not a Moz staff member - I used to be - but I act as an associate contractor for the company) or email jane.copland@gmail.com.
Cheers,
Jane